{"id":"vidhyamitra:city-day:kolhapur:2113-08-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2113-08-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-08-15","date_display":"August 15, 2113 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2113,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493043.770833,"kali_year":5215,"ahargana":1904578.2708,"sun":{"sidereal_longitude":115.911,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":158.4048,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.4938,"elapsed_within_tithi_degrees":6.4938},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":158.4048,"elapsed_within_degrees":11.7382},"yoga":{"number":21,"name":"Siddha","sum_longitude":274.3158},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2113,"month":8,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493043.770833,"ahargana":1904578.2708,"kali_year":5215,"ayanamsa_lahiri":25.4402,"grahas":{"sun":{"sidereal_longitude":116.79035199999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":156.23155199999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false,"latitude":4.4969},"mars":{"sidereal_longitude":117.588052,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":126.34045200000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":202.45545199999992,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":85.71355199999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":331.47975199999996,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":66.2777,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":246.2777,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2113,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493043.770833,"kali_year":5215,"ahargana":1904578.2708,"sun":{"sidereal_longitude":115.911,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":158.4048,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.4938,"elapsed_within_tithi_degrees":6.4938},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":158.4048,"elapsed_within_degrees":11.7382},"yoga":{"number":21,"name":"Siddha","sum_longitude":274.3158},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.497,"elongation":42.494},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.497,"opposition_distance":137.506}},"eclipse_window_40days":[]},"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"sunriseLocal":"06:16","sunsetLocal":"18:58","solarNoonLocal":"12:37","dayLengthHours":12.6963763873403,"dayLengthDisplay":"12 Hours 41 Mins 47 Secs","nightLengthDisplay":"11 Hours 18 Mins 13 Secs","moonriseLocal":"09:13","moonsetLocal":"21:17","rahuKala":{"name":"Rāhu Kāla","start":"15:48","end":"17:23","startHours":15.79415255894555,"endHours":17.381199607363087,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:27","end":"11:02","startHours":9.445964365275401,"endHours":11.033011413692938,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:37","end":"14:12","startHours":12.620058462110475,"endHours":14.207105510528013,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:14","end":"09:39","startHours":9.234358092153062,"endHours":9.65757063839774,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:48","end":"07:08","startHours":6.800885951246172,"endHours":7.139455988241913,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:12","end":"13:03","startHours":12.196845915865797,"endHours":13.043271008355152,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:35","end":"05:26","startHours":4.57902008346162,"endHours":5.425445175950973,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:13","end":"06:16","startHours":5.213838902828634,"endHours":6.271870268440326,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:44","end":"15:35","startHours":14.736121193333858,"endHours":15.582546285823211,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:46","end":"19:10","startHours":18.768246655780626,"endHours":19.168246655780624,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:58","end":"19:30","startHours":18.968246655780625,"endHours":19.49726233858647,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:43","end":"20:28","startHours":18.718246655780625,"endHours":20.468246655780625,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:12","end":"01:03","startHours":24.196845915865797,"endHours":25.043271008355152,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:16","end":"07:52","startHours":6.271870268440326,"endHours":7.858917316857863,"quality":"inauspicious"},{"name":"Udveg","start":"07:52","end":"09:27","startHours":7.858917316857863,"endHours":9.445964365275401,"quality":"inauspicious"},{"name":"Chala","start":"09:27","end":"11:02","startHours":9.445964365275401,"endHours":11.033011413692938,"quality":"neutral"},{"name":"Labha","start":"11:02","end":"12:37","startHours":11.033011413692938,"endHours":12.620058462110475,"quality":"auspicious"},{"name":"Amṛta","start":"12:37","end":"14:12","startHours":12.620058462110475,"endHours":14.207105510528013,"quality":"auspicious"},{"name":"Kāla","start":"14:12","end":"15:48","startHours":14.207105510528013,"endHours":15.79415255894555,"quality":"inauspicious"},{"name":"Śubha","start":"15:48","end":"17:23","startHours":15.79415255894555,"endHours":17.381199607363087,"quality":"auspicious"},{"name":"Roga","start":"17:23","end":"18:58","startHours":17.381199607363087,"endHours":18.968246655780625,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:58","end":"20:23","startHours":18.968246655780625,"endHours":20.381199607363087,"quality":"inauspicious"},{"name":"Śubha","start":"20:23","end":"21:48","startHours":20.381199607363087,"endHours":21.79415255894555,"quality":"auspicious"},{"name":"Roga","start":"21:48","end":"23:12","startHours":21.79415255894555,"endHours":23.207105510528013,"quality":"inauspicious"},{"name":"Udveg","start":"23:12","end":"00:37","startHours":23.207105510528013,"endHours":24.620058462110475,"quality":"inauspicious"},{"name":"Chala","start":"00:37","end":"02:02","startHours":24.620058462110475,"endHours":26.03301141369294,"quality":"neutral"},{"name":"Labha","start":"02:02","end":"03:27","startHours":26.03301141369294,"endHours":27.4459643652754,"quality":"auspicious"},{"name":"Amṛta","start":"03:27","end":"04:52","startHours":27.4459643652754,"endHours":28.858917316857863,"quality":"auspicious"},{"name":"Kāla","start":"04:52","end":"06:16","startHours":28.858917316857863,"endHours":30.271870268440324,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.271870268440326,"endHours":7.271870268440326,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.271870268440326,"endHours":8.271870268440326,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.271870268440326,"endHours":9.271870268440326,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.271870268440326,"endHours":10.271870268440326,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.271870268440326,"endHours":11.271870268440326,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.271870268440326,"endHours":12.271870268440326,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.271870268440326,"endHours":13.271870268440326,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.271870268440326,"endHours":14.271870268440326,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.271870268440326,"endHours":15.271870268440326,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.271870268440326,"endHours":16.271870268440324,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.271870268440324,"endHours":17.271870268440324,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.271870268440324,"endHours":18.271870268440324,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.271870268440324,"endHours":19.271870268440324,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.271870268440324,"endHours":20.271870268440324,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.271870268440324,"endHours":21.271870268440324,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.271870268440324,"endHours":22.271870268440324,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.271870268440324,"endHours":23.271870268440324,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.271870268440324,"endHours":24.271870268440324,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.271870268440324,"endHours":25.271870268440324,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.271870268440324,"endHours":26.271870268440324,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.271870268440324,"endHours":27.271870268440324,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.271870268440324,"endHours":28.271870268440324,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.271870268440324,"endHours":29.271870268440324,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.271870268440324,"endHours":30.271870268440324,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":14.099433181421713,"eotMinutes":-4.176707726628523,"ayanamsa":25.4402}},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Caturthī · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2},{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"kolhapur"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 15, 2113 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"August 15, 2113 CE for Kolhāpur, Maharashtra: Śukla Caturthī, sūryodaya 06:16, sūryāsta 18:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2113-08-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2113-08-15","sa":"https://sa.vidhyamitra.com/city/kolhapur/2113-08-15","hi":"https://hi.vidhyamitra.com/city/kolhapur/2113-08-15","x-default":"https://vidhyamitra.com/city/kolhapur/2113-08-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T01:50:58.664Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-22T01:50:58.664Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T01:50:58.664Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}